Abstract

The ultimate inclination of a cohesionless infinite slope is traditionally assumed to be equal to the friction angle of the mate- rial (β = φ). However, for large friction angles this assumption overestimates the stability. In this study, the maximum slope inclination is determined by numerical simple shear calculations. In the first step, an elasto-plastic material model with Mohr-Coulomb yield surface is used in order to calculate the ultimate stable inclination of a cohesionless infinite slope. Furthermore, Matsuoka-Nakai failure criterion, which provides a more appropriate yield surface for granular materials in plane strain conditions, is used for the determination of the ulti- mate stable inclination. Finally, the results for different dilatancy angles and different failure criteria are been compared.

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